Question:
Fill in the blanks in each of the following so as to make the statement true:
(i) Two quantities are said to vary.... with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.
(ii) x and y are said to vary directly with each other if for some positive number k,...... = k.
(iii) If u = 3 v, then u and v vary .... with each other.
Solution:
(i) directly
(ii) $x a$ nd $y a$ re said to vary directly with each other if $\frac{x}{y}=k$, where $k$ is a positive number
(iii) because $u=3 v, u$ and $y$ vary directly with each other
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